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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A row of (6) boxes is to be colored red, blue, or green. The first and last boxes must not have the same color. How many color patterns are possible?

Answer and explanation

Correct answer: (3 \times 2 \times 3^4=486)

The first color has (3) choices and the last has (2), while the (4) middle boxes are independent. The inequality applies only to the ends.

Related tags

CountingColoringPatternsFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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